Geodesic
Generalized rank composition formations of finite groups
Problemy fiziki, matematiki i tehniki, no. 3 (2019), pp. 93-99

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In this paper one construction of composition formations was introduced. This construction contains formations of quasi-$\mathfrak{F}$-groups, $c$-supersoluble groups and groups defined by ranks of chief factors. The structure of groups from introduced formations was described. As corollaries some results of different authors were obtained. A question of L.A. Shemetkov about the intersection of $\mathfrak{F}$-maximal subgroups and the $\mathfrak{F}$-hypercenter was investigated for these formations.
Keywords: finite group, $c$-supersoluble group, quasi-$\mathfrak{F}$-group, hereditary local formation, $\mathfrak{F}$-maximal subgroup, $\mathfrak{F}$-hypercenter.
Mots-clés : quasinilpotent group, composition formation 
@article{PFMT_2019_3_a15,
     author = {V. I. Murashka},
     title = {Generalized rank composition formations of finite groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {93--99},
     publisher = {mathdoc},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2019_3_a15/}
}
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V. I. Murashka. Generalized rank composition formations of finite groups. Problemy fiziki, matematiki i tehniki, no. 3 (2019), pp. 93-99. http://geodesic.mathdoc.fr/item/PFMT_2019_3_a15/